Space-Time Curvature Signatures in Bose-Einstein Condensates
arXiv:1501.04694 · doi:10.1140/epjd/e2015-60062-3
Abstract
We derive a generalized Gross-Pitaevski (GP) equation immersed on a electromagnetic and a weak gravitational field starting from the covariant Complex Klein-Gordon field in a curved space-time. We compare it with the GP equation where the gravitational field is added by hand as an external potential. We show that there is a small difference of order between them that could be measured in the future using Bose-Einstein Condensates (BEC). This represents the next order correction to the Newtonian gravity in a curved space-time.
arXiv comment4 pages, no figures
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